| Exam Board | OCR MEI |
|---|---|
| Module | Paper 2 (Paper 2) |
| Year | 2020 |
| Session | November |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Estimate single values from cumulative frequency graph |
| Difficulty | Easy -1.8 This is a straightforward reading-from-graph question requiring only basic interpretation of cumulative frequency diagrams. Part (a) involves finding the median (reading at 50% cumulative frequency), and part (b) requires reading the value at 90% cumulative frequency and comparing to 60 minutes—both are direct graph-reading skills with minimal calculation or problem-solving. |
| Spec | 2.02a Interpret single variable data: tables and diagrams |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(23 \leq m \leq 29\) | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| no, \(p\%\) spent less than an hour revising maths; or no, 90% spent less than \(m\) minutes revising maths | B1 | \(75 \leq p \leq 85\); \(75 \leq m \leq 100\); Allow e.g. \(x\) out of 200 is not 90% or 0.9 oe where \(150 \leq x \leq 170\) |
## Question 4:
### Part (a):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $23 \leq m \leq 29$ | B1 | |
### Part (b):
| Answer | Marks | Guidance |
|--------|-------|----------|
| no, $p\%$ spent less than an hour revising maths; or no, 90% spent less than $m$ minutes revising maths | B1 | $75 \leq p \leq 85$; $75 \leq m \leq 100$; Allow e.g. $x$ out of 200 is not 90% or 0.9 oe where $150 \leq x \leq 170$ |
---4 Fig. 4 shows a cumulative frequency diagram for the time spent revising mathematics by year 11 students at a certain school during a week in the summer term.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{cea67565-8074-4703-8e1a-09b98e380baf-05_554_1070_737_242}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
\begin{enumerate}[label=(\alph*)]
\item Use the diagram to estimate the median time spent revising mathematics by these students. [1]
A teacher comments that $90 \%$ of the students spent less than an hour revising mathematics during this week.
\item Determine whether the information in the diagram supports this comment.
\end{enumerate}
\hfill \mbox{\textit{OCR MEI Paper 2 2020 Q4 [2]}}